Energy decay rate of a mixed type II and type III thermoelastic system

Zhuangyi Liu, Ramón Quintanilla

Research output: Contribution to journalArticle

21 Scopus citations

Abstract

In this paper, we study the energy decay rate for a mixed type II and type III thermoelastic system. The system consists of a wave equation and a heat equation of type III in one part of the domain; a wave equation and a heat equation of type II in another part of the domain, coupled in certain pattern. When the damping coefficient function satisfies certain conditions at the interface, a polynomial type decay rate is obtained. This result is proved by verifying the frequency domain conditions.

Original languageEnglish (US)
Pages (from-to)1433-1444
Number of pages12
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume14
Issue number4
DOIs
StatePublished - Nov 1 2010

Keywords

  • Frequency domain
  • Polynomial decay rate
  • Thermoelasticity

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